GCD of 238, 698, 736, 634 Calculator

Given Input numbers are 238, 698, 736, 634

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Greatest Common Divisior

We found the divisors of 238, 698, 736, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 698, 736, 634 is 2.

Therefore, GCD of numbers 238, 698, 736, 634 is 2

Given Input Data is 238, 698, 736, 634

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 698 is 2 x 349

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 634 is 2 x 317

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(238, 698) = 83062

GCD(238, 698) = ( 238 x 698 ) / 83062

GCD(238, 698) = 166124 / 83062

GCD(238, 698) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 736

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

GCD(2, 736) = 1472 / 736

GCD(2, 736) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 634

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

GCD(2, 634) = 1268 / 634

GCD(2, 634) = 2

GCD of 238, 698, 736, 634 is 2

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1. What is the GCD of 238, 698, 736, 634?

GCD of 238, 698, 736, 634 is 2

2. Where do I get the detailed procedure to find GCD of 238, 698, 736, 634?

You can find a detailed procedure to find GCD of 238, 698, 736, 634 on our page.

3. How to find GCD of 238, 698, 736, 634 on a calculator?

You can find the GCD of 238, 698, 736, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.